{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Telephoto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Telephoto(optic.Optic):\n",
    "    \"\"\"Kingslake Telephoto Lens, Modified by Hopkins\n",
    "\n",
    "    Warren Smith, Modern Lens Design, 1992, Page 171\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(index=1, radius=24.607, thickness=5.08, material=\"BK7\")\n",
    "        self.add_surface(index=2, radius=-36.347, thickness=1.6, material=\"F2\")\n",
    "        self.add_surface(index=3, radius=212.138, thickness=12.3)\n",
    "        self.add_surface(index=4, radius=np.inf, thickness=21.699, is_stop=True)\n",
    "        self.add_surface(index=5, radius=-14.123, thickness=1.52, material=\"BK7\")\n",
    "        self.add_surface(index=6, radius=-38.904, thickness=4.8, material=\"F2\")\n",
    "        self.add_surface(index=7, radius=-25.814, thickness=37.934)\n",
    "        self.add_surface(index=8)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=5.6)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=2.96)\n",
    "        self.add_field(y=4.19)\n",
    "\n",
    "        self.add_wavelength(value=0.4861)\n",
    "        self.add_wavelength(value=0.5876, is_primary=True)\n",
    "        self.add_wavelength(value=0.6563)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = Telephoto()\n",
    "lens.draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
